Modulational instability

Instabilities of internal gravity waves in the two-dimensional Boussinesq system
We prove that plane waves of the Boussinesq system are linearly unstable.
R. Bianchini, A. Maspero, S. Pasquali
PDF Dataset Project Poster Video Source Document arXiv
Full Description of Benjamin–Feir Instability for Generalized Korteweg–de Vries Equations
We prove modulational instability for Generalized Korteweg–de Vries Equations.
A. Maspero, A. Radakovic
PDF Project DOI SIAM J.M.A.
Longtime dynamics for the Landau Hamiltonian with a time dependent magnetic field
We prove stability and instabiliy of a Landau Hamiltonian with a time dpendent magnetic field.
D. Bambusi, B. Grebert, A. Maspero, D. Robert, C. Villegas-Blas
PDF Project DOI EMS Surv. Math. Sci
Bifurcation of gravity-capillary Stokes waves with constant vorticity
We construct Stokes waves for any values of the parameters, using variational methods.
T. Barbieri, M. Berti, A. Maspero, M. Mazzuchelli
PDF Code Project DOI JDE
First isola of modulational instability of Stokes waves in deep water
We prove high-frequency modulational instability of small-amplitude Stokes waves in deep water under longitudinal perturbations, providing the first isola of unstable eigenvalues branching off from i3/4.
M. Berti, A. Maspero, P. Ventura
PDF Code Project DOI EMS Surv. Math. Sci
On higher order isolas of unstable Stokes waves
We prove asymptotic expansion when the depth goes to infinity of the function $\beta^{(p)}_1(h)$ for $p=2,3,4$.
M. Berti, L. Corsi, A. Maspero, P. Ventura
PDF Code Project arXiv